Finding the Difference of Mixed Numbers 52/19 and 29/64
Determine the Difference of Mixed Numbers 52/19 and 29/64 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Difference of Mixed Numbers 52/19 and 29/64
The given mixed numbers are 52/19 and 29/64
Converting 52/19 mix number to fraction
Given Mixed Number is 5 2/19
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 5 and the fractional part is 2/19.
On adding them, they can be written as:
5/1 + 2/19
The L.C.M of the denominators 1 and 19 is 19.
The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 19.
5 x 19 + 2/19
95 + 2/19
After multiplying, the numerators 95 and 2 should be added.
97/19
The fraction value we get is 97/19.
After converting the Mixed Number 5 2/19 to the Improper Fraction,the result is 97/19.
Converting 29/64 mix number to fraction
Given Mixed Number is 2 9/64
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 2 and the fractional part is 9/64.
On adding them, they can be written as:
2/1 + 9/64
The L.C.M of the denominators 1 and 64 is 64.
The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 64.
2 x 64 + 9/64
128 + 9/64
After multiplying, the numerators 128 and 9 should be added.
137/64
The fraction value we get is 137/64.
After converting the Mixed Number 2 9/64 to the Improper Fraction,the result is 137/64.
Subtracting fractions 97/19 and 137/64
The given fractions are 97/19 and 137/64
Firstly the L.C.M should be done for the denominators of the two fractions 97/19 and 137/64
97/19 - 137/64
The LCM of 19 and 64 (denominators of the fractions) is 1216
Given numbers has no common factors except 1. So, there LCM is their product i.e 1216
= 97 x 64 - 137 x 19/1216
= 6208 - 2603/1216
= 3605/1216
Result: 3605/1216
In order to get the Mixed Number,we need to divide 3605 ÷ 1216 to get the Quotient and Remainder
3605 divided by 1216 using long division
The given Divisor = 1216 and Dividend = 3605
2 | |||||||
1 | 2 | 1 | 6 | 3 | 6 | 0 | 5 |
2 | 4 | 3 | 2 | ||||
1 | 1 | 7 | 3 |
The Quotient is 2 and the Remainder is 1173
We get the Quotient = 2 and Remainder = 1173
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 2 1173/1216